# Tzu-Chu Lin

## Associate Professor

**Office:** EMS E463

**Phone:** (414) 229-4923

**E-mail:** lin@uwm.edu

**Web-Address:** http://pantherfile.uwm.edu/lin/www/

### Educational Degrees

Ph.D., University of Iowa, Iowa City, Iowa, 1982.

M.S. National Taiwan Normal University, Taiwan 1974.

B.S. National Taiwan Normal University, Taiwan 1971.

### Selected Service and Projects

- Chair, Open House Committee, 2008.

### Publications

Kleefeld, Andreas, and Lin, Tzu-Chu. “A global Galerkin method for solving the exterior Neumann problem for Helmholtz's equation using Panich's integral equation approach.”

*Society of Industrial and Applied Mathematics (SIAM) Journal on Scientific Computing, Society of Industrial and Applied Mathematics*35. (2013): A1709-A1735.Kleefeld, Andreas, and Lin, Tzu-Chu. “Boundary element collocation method for solving the exterior Neumann problem for Helmholtz's equation in three dimensions.”

*Electronic Transactions on Numerical Analysis*39. (2012): 113-143.Kleefeld, Andreas, and Lin, Tzu-Chu. “The nonlinear Landweber method applied to an inverse scattering problem for sound-soft obstacles in 3D.”

*Computer Physics Communications, Elsevier*182. (2011): 2550-2560.Lin, Tzu-Chu, Schultz, David H., and Zhang, Weiqun. “Numerical solutions of linear and nonlinear singular perturbation problems.”

*Computers & Mathematics with Applications, Elsevier*55.11 (2008): 2574-2592.Lin, Tzu-Chu, and Warnapala-Yehiya, Yajni. “The numerical solution of exterior Neumann problem for Helmholtz's equation via modified Green's functions approach.”

*Computers and Mathematics with Applications, Elsevier*47. (2004): 593-609.Lin, Tzu-Chu, and Park, Sehie. “Approximation and Fixed-Point Theorems for Condensing Composites of Multifunctions.”

*Journal of Mathematical Analysis and Applications, Elsevier*223.1 (1998): 1â8.Lin, Tzu-Chu. “Random approximations and random fixed point theorems for continuous -set-contractive random maps.”

*Proceedings of the American Mathematical Society, American Mathematical Society*123. (1995): 1167-1176.Lin, Tzu-Chu, and Yen, Chi-Lin. “Applications of the proximity map to fixed point theorems in Hilbert space.”

*Journal of Approximation Theory, Elsevier*52.2 (1988): 141-148.Lin, Tzu-Chu. “Smoothness results of single and double layer solutions of the Helmholtz equation.”

*Journal of Integral Equations and Applications, The Rocky Mountain Mathematics Consortium*1.1 (1988): 83-121.Lin, Tzu-Chu. “Random approximations and random fixed point theorems for non-self-maps.”

*Proceedings of the American Mathematical Society, American Mathematical Society*103. (1988): 1129-1135.Lin, Tzu-Chu. “Approximation theorems and fixed point theorems in cones.”

*Proceedings of the American Mathematical Society, American Mathematical Society*102. (1988): 502-506.Lin, Tzu-Chu. “The Numerical Solution of Helmholtz’s Equation for the Exterior Dirichlet Problem in Three Dimensions.”

*Society of Industrial and Applied Mathematics(SIAM) Journal on Numerical Analysis, Society of Industrial and Applied Mathematics*22.4 (1985): 670-686.Lin, Tzu-Chu. “A proof for the Burton and Miller integral equation approach for the Helmholtz equation.”

*Journal of Mathematical Analysis and Applications, Elsevier*103.2 (1984): 565â574.